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Finding the Fourth Proportional to 13,547.68, 20,331.12 and 8,620.96

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Solution

The fourth proportional to 13,547.68, 20,331.12 and 8,620.96 is: 12,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.68 : 20,331.12 = 8,620.96 : x
  2. Step 2: Convert to fraction form
    13,547.68/20,331.12 = 8,620.96/x
  3. Step 3: Cross multiply
    13,547.68x = 20,331.12 × 8,620.96
  4. Step 4: Simplify right side
    13,547.68x = 175,273,772.28
  5. Step 5: Solve for x
    x = 175,273,772.28/13,547.68
  6. Step 6: Final answer
    x = 12,937.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.